Robustness of CSC Sasaki existence under the join operation

The main purpose of this work is to explore the existence of constant scalar curvature Sasaki metrics in the Sasaki cone of the join of two regular Sasaki manifolds, M 1 and M 2 . Furthermore, we consider some cases of continuous families of extremal Sasaki twins.

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Publication Details

Journal
Differential Geometry and its Applications
Published
2026-09-24
DOI
https://doi.org/10.1016/j.difgeo.2026.102445
Primary Topic
Geometry and complex manifolds
Type
article
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Robustness of CSC Sasaki existence under the join operation

Charles P. Boyer, Christina W. Tønnesen-Friedman
Differential Geometry and its Applications
Geometry and complex manifolds
article

Robustness of CSC Sasaki existence under the join operation

Charles P. Boyer, Christina W. Tønnesen-Friedman
article en

Abstract

The main purpose of this work is to explore the existence of constant scalar curvature Sasaki metrics in the Sasaki cone of the join of two regular Sasaki manifolds, M 1 and M 2 . Furthermore, we consider some cases of continuous families of extremal Sasaki twins.

Differential Geometry and its ApplicationsVol. 105
University of New Mexico (US), Union College (US)
Reduced inequalities
Openalex Percentile: Top 57%
Geometry and complex manifolds
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Robustness of CSC Sasaki existence under the join operation — Charles P. Boyer, Christina W. Tønnesen-Friedman · Differential Geometry and its Applications (2026) | TGRS Research Map | TGRS